Київ: N.Terletsky, 2012. — 141 c.
В книзі читач знайде основні відомості з елементарної
математики.
Видання може бути використане як посібник з елементарної математики учнями, що вивчають предмети на англійській мові, а також широким колом бажаючих. Contents.
Basic algebra.
The Real Number System.
Arithmetic.
Distributive Laws.
Arithmetic of Fractions.
Factorization.
Introduction to matrices.
Linear Equations.
Arithmetic.
Application to Linear Equations.
Trigonometry.
Radian and Arc Length.
The Trigonometric Functions.
Some Trigonometric Identities.
Indices and logarithms.
Indices.
The Exponential Functions.
The Logarithmic Functions.
Polynomial equations.
Linear Equations.
Quadratic Equations.
Factorization Again.
Higher Order Equations.
Inequalities and absolute values.
Some Simple Inequalities.
Absolute Values.
Progressions.
Arithmetic Progressions.
Geometric Progressions.
elementary counting techniques.
The Fundamental Principle of Counting.
Permutation.
Combination.
The Binomial Theorem.
Application to Probability Theory.
complex numbers.
Introduction.
The Complex Plane.
Functions and lines.
Functions and Graphs.
Lines on the Plane.
Introduction to differentiation.
Tangent to a Curve.
Arithmetic of Derivatives.
Derivatives of the Trigonometric Functions.
Further techniques of differentiation.
The Chain Rule.
Implicit Differentiation.
Derivatives of the Exponential and Logarithmic Functions.
Derivatives of the Inverse Trigonometric Functions.
applications of differentiation.
Second Derivatives.
Applications to Problem Solving.
Newton's Method.
introduction to integration.
Antiderivatives.
Integration by Substitution.
Definite Integrals.
Areas.
Видання може бути використане як посібник з елементарної математики учнями, що вивчають предмети на англійській мові, а також широким колом бажаючих. Contents.
Basic algebra.
The Real Number System.
Arithmetic.
Distributive Laws.
Arithmetic of Fractions.
Factorization.
Introduction to matrices.
Linear Equations.
Arithmetic.
Application to Linear Equations.
Trigonometry.
Radian and Arc Length.
The Trigonometric Functions.
Some Trigonometric Identities.
Indices and logarithms.
Indices.
The Exponential Functions.
The Logarithmic Functions.
Polynomial equations.
Linear Equations.
Quadratic Equations.
Factorization Again.
Higher Order Equations.
Inequalities and absolute values.
Some Simple Inequalities.
Absolute Values.
Progressions.
Arithmetic Progressions.
Geometric Progressions.
elementary counting techniques.
The Fundamental Principle of Counting.
Permutation.
Combination.
The Binomial Theorem.
Application to Probability Theory.
complex numbers.
Introduction.
The Complex Plane.
Functions and lines.
Functions and Graphs.
Lines on the Plane.
Introduction to differentiation.
Tangent to a Curve.
Arithmetic of Derivatives.
Derivatives of the Trigonometric Functions.
Further techniques of differentiation.
The Chain Rule.
Implicit Differentiation.
Derivatives of the Exponential and Logarithmic Functions.
Derivatives of the Inverse Trigonometric Functions.
applications of differentiation.
Second Derivatives.
Applications to Problem Solving.
Newton's Method.
introduction to integration.
Antiderivatives.
Integration by Substitution.
Definite Integrals.
Areas.